152152245120144 has 120 divisors (see below), whose sum is σ = 402900301078560. Its totient is φ = 49477987819520.

The previous prime is 152152245120133. The next prime is 152152245120151. The reversal of 152152245120144 is 441021542251251.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2477655712 + ... + 2477717120.

It is an arithmetic number, because the mean of its divisors is an integer number (3357502508988).

Almost surely, 2^{152152245120144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152152245120144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201450150539280).

152152245120144 is an abundant number, since it is smaller than the sum of its proper divisors (250748055958416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152152245120144 is a wasteful number, since it uses less digits than its factorization.

152152245120144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92209 (or 92162 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 39.

Adding to 152152245120144 its reverse (441021542251251), we get a palindrome (593173787371395).

The spelling of 152152245120144 in words is "one hundred fifty-two trillion, one hundred fifty-two billion, two hundred forty-five million, one hundred twenty thousand, one hundred forty-four".